code: def put_executable_and_time(
      cache_key: str,
      module_name: str,
      executable: xla_client.LoadedExecutable,
      backend,
      compile_time: int,
  ) -> None:
      """Adds the 'executable' and its compilation time to the cache, possibly
      evicting older entries.
      """
      cache = _get_cache()
      if cache is None:
          logger.debug(
              "put_executable_and_time: cache is disabled/not initialized"
          )
          return
  
      serialized_executable = backend.serialize_executable(executable)
      executable_and_time = combine_executable_and_time(
          serialized_executable, compile_time
      )
      executable_and_time = compress_executable(executable_and_time)
  
      min_entry_size = (
          config.persistent_cache_min_entry_size_bytes.value
      )
      entry_size = len(executable_and_time)
      if entry_size < min_entry_size:
          logger.info(
              "Not writing cache entry with key %s since its size (%d bytes) "
              "is less than threshold (%d bytes)",
              cache_key,
              entry_size,
              min_entry_size,
          )
      else:
          logger.debug(
              "Writing %s to persistent compilation cache with key %s.",
              module_name,
              cache_key,
          )
          monitoring.record_event("/jax/compilation_cache/cache_misses")
          cache.put(cache_key, executable_and_time)
  
imports: from __future__ import annotations
  import logging
  import threading
  import warnings
  import zlib
  import numpy
  from jax._src import cache_key
  from jax._src.compilation_cache_interface import CacheInterface
  from jax._src import config
  from jax._src import monitoring
  from jax._src.gfile_cache import GFileCache
  from jax._src.lib import xla_client
  from jax._src.lib.mlir import ir
label_desc: Use image node_id 12 for calling a global function with example usage: put_executable_and_time(cache_key, module_name, executable, backend, compile_time) without return types